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URL: https://oeis.org/A187841

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A187841

Rank transform of the sequence floor(n*sqrt(2)+1/2); complement of A187842.

2

1, 3, 5, 7, 8, 10, 12, 14, 16, 17, 19, 21, 23, 25, 26, 28, 30, 31, 34, 35, 37, 39, 41, 42, 44, 46, 48, 50, 51, 53, 55, 57, 59, 60, 62, 64, 66, 68, 69, 71, 73, 74, 77, 78, 80, 82, 83, 85, 87, 89, 91, 93, 95, 96, 98, 100, 102, 103, 105, 107, 109, 111, 112, 114, 116, 117, 119, 121, 123, 125, 126, 128, 130, 132, 134, 135, 137, 139, 141, 143, 145, 146

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OFFSET

1,2

COMMENTS

LINKS

Table of n, a(n) for n=1..82.

MATHEMATICA

r=2^(1/2);

seqA = Table[Floor[r*n+1/2], {n, 1, 220}]

seqB = Table[n, {n, 1, 220}]; (*A000027*)

jointRank[{seqA_,

seqB_}] := {Flatten@Position[#1, {_, 1}],

Flatten@Position[#1, {_, 2}]} &[

Sort@Flatten[{{#1, 1} & /@ seqA, {#1, 2} & /@ seqB}, 1]];

limseqU =

FixedPoint[jointRank[{seqA, #1[[1]]}] &,

jointRank[{seqA, seqB}]][[1]] (*A187841*)

Complement[Range[Length[seqA]], limseqU] (*A187842*)

(*by Peter J. C. Moses, Mar 13 2011*)

CROSSREFS

Cf. A187224, A187842, A187839.

Sequence in context: A329825 A059565 A329999 * A253301 A379979 A003144

Adjacent sequences: A187838 A187839 A187840 * A187842 A187843 A187844

KEYWORD

nonn

AUTHOR

Clark Kimberling, Mar 13 2011

STATUS

approved